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Finding the Fourth Proportional to 145.90, 201.04 and 135.86

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Solution

The fourth proportional to 145.90, 201.04 and 135.86 is: 187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.90 : 201.04 = 135.86 : x
  2. Step 2: Convert to fraction form
    145.90/201.04 = 135.86/x
  3. Step 3: Cross multiply
    145.90x = 201.04 × 135.86
  4. Step 4: Simplify right side
    145.90x = 27,313.46
  5. Step 5: Solve for x
    x = 27,313.46/145.90
  6. Step 6: Final answer
    x = 187.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.